Question

7 × 3 + [ 6 + 2 × (23 ÷ 4 + 3 × 2) – 7 × √4 ] + 9 ÷ 3

Answer 1

39.5

Explanation:

We will solve according to order of operations.

7 × 3 + [ 6 + 2 × (23 ÷ 4 + 3 × 2) – 7 × √4 ] + 9 ÷ 3

We must solve the innermost parentheses first. We must do the division first.

7 × 3 + [ 6 + 2 × (5.75 + 3 × 2) – 7 × √4 ] + 9 ÷ 3

Next is the multiplication in the innermost parentheses.

7 × 3 + [ 6 + 2 × (5.75 + 6) – 7 × √4 ] + 9 ÷ 3

Next is the addition in the innermost parentheses.

7 × 3 + [ 6 + 2 × (11.75) – 7 × √4 ] + 9 ÷ 3

We can remove the parentheses here.

7 × 3 + [ 6 + 2 × 11.75 – 7 × √4 ] + 9 ÷ 3

We must now do the square root in the brackets, as it takes precedence.

7 × 3 + [ 6 + 2 × 11.75 – 7 × 2 ] + 9 ÷ 3

Now for the multiplication in the brackets.

7 × 3 + [ 6 + 23.5 – 7 × 2 ] + 9 ÷ 3

Now for the multiplication in the brackets.

7 × 3 + [ 6 + 23.5 – 14 ] + 9 ÷ 3

Now addition in the brackets.

7 × 3 + [ 29.5 – 14 ] + 9 ÷ 3

Now subtraction in the brackets.

7 × 3 + [ 15.5 ] + 9 ÷ 3

We can remove the brackets here.

7 × 3 + 15.5 + 9 ÷ 3

Now for the multiplication.

21 + 15.5 + 9 ÷ 3

Now for the division

21 + 15.5 + 3

Now for the addition.

21 + 15.5 + 3

39.5

Therfore, 39.5 is your final answer.

Answer 2

Answer: 39.5

Explanation:

We will use the Order of Operations to help us solve. This means we do things in the order of parentheses, brackets, exponents, multiplication and division, and addition and subtraction.

If we have both multiplication and division or both addition and subtraction in a step, we work left to right.

Given:

7 × 3 + [ 6 + 2 × (23 ÷ 4 + 3 × 2) – 7 × √4 ] + 9 ÷ 3

Divide:

7 × 3 + [ 6 + 2 × (5.75 + 3 × 2) – 7 × √4 ] + 9 ÷ 3

Multiply:

7 × 3 + [ 6 + 2 × (5.75 + 6) – 7 × √4 ] + 9 ÷ 3

Add:

7 × 3 + [ 6 + 2 × 11.75 – 7 × √4 ] + 9 ÷ 3

Multiply:

7 × 3 + [ 6 + 23.5 – 7 × √4 ] + 9 ÷ 3

The square root of 4:

7 × 3 + [ 6 + 23.5 – 7 × 2 ] + 9 ÷ 3

Multiply:

7 × 3 + [ 6 + 23.5 – 14 ] + 9 ÷ 3

Add:

7 × 3 + [ 29.5 – 14 ] + 9 ÷ 3

Subtract:

7 × 3 + [ 15.5 ] + 9 ÷ 3

Multiply:

21 + 15.5 + 9 ÷ 3

Divide:

21 + 15.5 + 3

Add:

36.5 + 3

Add:

29.5